Question

Solve for x. NEED ANSWER ASAP TYY SO MUCH IN ADVANCE

Answer 1

Answer:

x = 10√3

Step-by-step explanation:

Because of the right angles, we can use Pythagoras

30² - x² = y²  (a) Largest triangle

y² - 20² = h² (b) Medium triangle

substitute y² from (a) into (b)

30² - x² - 20² = h²

500 - x² = h²  (d)

x² - h² = (30 - 20)² (c) smallest triangle

substitute h² from (d) into (c)

x² - (500 - x²) = 100

2x² = 600

x² = 300

x = 10√3